This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 28-mg sample. (a) Find a function m(e) = mg2-t/h that models the mass remaining after t years. m{t) = 22-2-11600 (b) Find a function m(t) = mge-rt that models the mass remaining after t years. (Round your r value to six decimal places.) m(t) = 12e-0.0231t (C) How much of the sample will remain after 4500 years? (Round your answer to one decimal place.) 2.1 ]× mg (d) After how many years will only 17 mg of the sample remain? (Round your answer to one decimal place.) 48 x yr

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